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Finding the Third Proportional to 100,972 and 158,408

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Solution

The third proportional to 100,972 and 158,408 is: 248,515.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,972 : 158,408 = 158,408 : x
  2. Step 2: Convert to fraction form
    100,972/158,408 = 158,408/x
  3. Step 3: Cross multiply
    100,972x = 158,408 × 158,408
  4. Step 4: Simplify right side
    100,972x = 25,093,094,464
  5. Step 5: Solve for x
    x = 25,093,094,464/100,972
  6. Step 6: Final answer
    x = 248,515.38

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.